Answer:


Step-by-step explanation:
<u>Taylor series</u> expansions of f(x) at the point x = a

This expansion is valid only if
exists and is finite for all
, and for values of x for which the infinite series converges.






Substituting the values in the series expansion gives:

Factoring out e⁴:
![e^{4x}=e^4\left[1+4(x-1)+8}(x-1)^2+...\right]](https://tex.z-dn.net/?f=e%5E%7B4x%7D%3De%5E4%5Cleft%5B1%2B4%28x-1%29%2B8%7D%28x-1%29%5E2%2B...%5Cright%5D)
<u>Taylor Series summation notation</u>:

Therefore:

I believe if I’m not wrong the answer should be B 1/6
If 45' is the width of the house, then the front yard would have 65+45+65 feet = 175 feet, and the back yard would have 35 + 45 + 35 = 115 feet.
the total would be 290 feet.